The error estimates of Lemma REF  and hence also of Theorem REF 
indicate that the error of the ODE solver depends on the maximum of the Lipschitz constants of the
differential equations under consideration and hence, in view of the observation from
Section REF , on the number \(K\)  of quadrature nodes
or, more precisely, on the location of the largest node \(x_{K,K}^{\mathrm {GLa}}\)  of the
quadrature formula in use. While this is only an upper bound that in fact may drastically
overestimate the true error [1]}, it nevertheless clarifies the importance of keeping
the value \(x_{K,K}^{\mathrm {GLa}}\)  as small as possible.
